Homogeneity and curvatures of geodesic spheres

DOI10.1007/S00605-006-0385-9zbMath1123.53017OpenAlexW2081319873MaRDI QIDQ863494

Eduardo García-Río, Lieven Vanhecke, José Carlos Díaz-Ramos

Publication date: 26 January 2007

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-006-0385-9

zbMATH Keywords

homogeneous spacesgeodesic spherescurvature invariantsDamek-Ricci spacestwo-point homogeneous spaces

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global Riemannian geometry, including pinching (53C20)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Riemannian geometry as determined by the volumes of small geodesic balls
• Generalized Heisenberg groups and Damek-Ricci harmonic spaces
• Jost maps, ball-homogeneous and harmonic manifolds
• Total curvatures of geodesic spheres associated to quadratic curvature invariants
• On harmonic and asymptotically harmonic homogeneous spaces
• Le spectre d'une variété riemannienne. (The spectrum of a Riemannian manifold)
• Curvature invariants, differential operators and local homogeneity
• Differential geometry of geodesic spheres.
• ISOPARAMETRIC GEODESIC SPHERES AND A CONJECTURE OF OSSERMAN CONCERNING THE JACOBI OPERATOR

This page was built for publication: Homogeneity and curvatures of geodesic spheres